Two-dimensional temperature field measurement by laser interference based on fringes Fourier transformation

CHEN Yu; ZHANG Haifeng; LU Rongde; CHEN Yue; HE Liqun

doi:10.3969/j.issn.0253-2778.2020.06.016

JUSTC > 2020 > 50(6): 832-838. > DOI: 10.3969/j.issn.0253-2778.2020.06.016

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Two-dimensional temperature field measurement by laser interference based on fringes Fourier transformation

Department of Thermal Science and Energy Engineering , University of Science and Technology of China , Hefei 230027, China

Cite this: JUSTC, 2020, 50(6): 832-838

https://doi.org/10.3969/j.issn.0253-2778.2020.06.016

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Received Date: March 12, 2020
Revised Date: June 03, 2020
Accepted Date: June 03, 2020
Published Date: June 29, 2020

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Abstract

Abstract

A temperature measurement method using laser interference fringe Fourier transformation was presented. Based on the Mach-Zehnder interferometer, the candle axisymmetric flame temperature field was used to verify the presented method. Using interferogram undisturbed by temperature field in the process of recovering phase shift, the linear deviation caused by image digitization in the phase was corrected. By comparing the results of various filters, it is shown that features of the filter have a significant impact on the result, and the cosine-shaped edge filter with appropriate parameters can effectively extract the spectrum information. Experimental results of candle flame indicate that the presented method can be used to measure two-dimensional temperature distributions quickly and conveniently.

Abstract

A temperature measurement method using laser interference fringe Fourier transformation was presented. Based on the Mach-Zehnder interferometer, the candle axisymmetric flame temperature field was used to verify the presented method. Using interferogram undisturbed by temperature field in the process of recovering phase shift, the linear deviation caused by image digitization in the phase was corrected. By comparing the results of various filters, it is shown that features of the filter have a significant impact on the result, and the cosine-shaped edge filter with appropriate parameters can effectively extract the spectrum information. Experimental results of candle flame indicate that the presented method can be used to measure two-dimensional temperature distributions quickly and conveniently.

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References (23)

References

[1]	DIVYA H, REDDY G R, SOBHAN C B, et al. Digital interferometric measurement of forced convection fields in compact channels[J]. International Journal of Optomechatronics, 2015, 9(1): 9-34.
[2]	SAJITH V, HARIDAS D, SOBHAN C, et al. Convective heat transfer studies in macro and mini channels using digital interferometry[J]. International Journal of Thermal Sciences, 2011,50(3): 239-249.
[3]	KARAMINEJAD S, ASKARI M H, ASHJAEE M J A O. Temperature field investigation of hydrogen/air and syngas/air axisymmetric laminar flames using Mach-Zehnder interferometry[J]. Applied Optics, 2018, 57(18): 5057-5067.
[4]	TAKEDA M, INA H, KOBAYASHI S J J. Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry[J]. Review of Scientific Instruments, 1982, 72(1): 156-160.
[5]	BONE D J, BACHOR H A, SANDEMAN R J. Fringe-pattern analysis using a 2-D Fourier transform[J]. Applied Optics, 1986, 25(10): 1653-1660.
[6]	MASSIG J H, HEPPNER J J A O. Fringe-pattern analysis with high accuracy by use of the Fourier-transform method: theory and experimental tests[J]. Applied Optics, 2001, 40(13): 2081-2088.
[7]	NUGENT K A J A O. Interferogram analysis using an accurate fully automatic algorithm[J]. Applied Optics, 1985, 24(18): 3101-3105.
[8]	ZHONG J, WENG J J O E. Generalized Fourier analysis for phase retrieval of fringe pattern[J]. Optics Express, 2010, 18(26): 26806-26820.
[9]	KEMAO Q J A O. Windowed Fourier transform for fringe pattern analysis[J]. Applied Optics, 2004, 43(13): 2695-2702.
[10]	KREIS T J J A. Digital holographic interference-phase measurement using the Fourier-transform method[J]. Journal of the Optical Society of America A, 1986, 3(6): 847-855.
[11]	LIU J, RONNEY P J A O. Modified Fourier transform method for interferogram fringe pattern analysis[J]. Applied Optics, 1997, 36(25): 6231-6241.
[12]	BRACEWELL R N. The Fourier transform and its applications[J]. American Journal of Physics, 2002:34.
[13]	CHEHOUANI H, SAID A A H, EL FAGRICH M J E T, et al. Heat transfer study of free convection through a horizontal open ended axisymmetric cavity using holographic interferometry[J]. Experimental Thermal & Fluid Science, 2015, 60: 308-316.
[14]	CHEHOUANI H J O, ENGINEERING L I. A simple Abel inversion method of interferometric data for temperature measurement in axisymmetric medium[J]. Optics and Lasers in Engineering, 2012, 50(3): 336-344.
[15]	PRITT M D, SHIPMAN J S J I T O G, SENSING R. Least-squares two-dimensional phase unwrapping using FFT's[J]. IEEE Transactions on Geoscience and Remote Sensing, 1994, 32(3): 706-708.
[16]	GHIGLIA D C, ROMERO L A. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods[J]. Journal of the Optical Society of America A, 1994, 11(1): 107-117.
[17]	KERR D, KAUFMANN G, GALIZZI G J A O. Unwrapping of interferometric phase-fringe maps by the discrete cosine transform[J]. Applied Optics, 1996, 35(5): 810-816.
[18]	ALVAREZ R, RODERO A, QUINTERO M. An Abel inversion method for radially resolved measurements in the axial injection torch[J]. Spectrochimica Acta Part B: Atomic Spectroscopy, 2002, 57(11): 1665-1680.
[19]	CHO Y, NA S J. Application of Abel inversion in real-time calculations for circularly and elliptically symmetric radiation sources[J]. Measurement Science and Technology, 2005, 16(3): 878.
[20]	MA S, GAO H, WU L J A O. Modified Fourier-Hankel method based on analysis of errors in Abel inversion using Fourier transform techniques[J]. Applied Optics, 2008, 47(9): 1350-1357.
[21]	MADSEN M, BROWN D, KRUTZ S, et al. Measuring the molecular polarizability of air[J]. American Journal of Physics, 2011, 79(4): 428-430.
[22]	GONZALES R C, WOODS R E. Digital Image Processing [M]. New Jersey: Prentice Hall, 2002.
[23]	熊秉衡,李俊昌. 全息干涉计量技术: 原理和方法[M]. 北京: 科学出版社, 2009.

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References

[1]	DIVYA H, REDDY G R, SOBHAN C B, et al. Digital interferometric measurement of forced convection fields in compact channels[J]. International Journal of Optomechatronics, 2015, 9(1): 9-34.
[2]	SAJITH V, HARIDAS D, SOBHAN C, et al. Convective heat transfer studies in macro and mini channels using digital interferometry[J]. International Journal of Thermal Sciences, 2011,50(3): 239-249.
[3]	KARAMINEJAD S, ASKARI M H, ASHJAEE M J A O. Temperature field investigation of hydrogen/air and syngas/air axisymmetric laminar flames using Mach-Zehnder interferometry[J]. Applied Optics, 2018, 57(18): 5057-5067.
[4]	TAKEDA M, INA H, KOBAYASHI S J J. Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry[J]. Review of Scientific Instruments, 1982, 72(1): 156-160.
[5]	BONE D J, BACHOR H A, SANDEMAN R J. Fringe-pattern analysis using a 2-D Fourier transform[J]. Applied Optics, 1986, 25(10): 1653-1660.
[6]	MASSIG J H, HEPPNER J J A O. Fringe-pattern analysis with high accuracy by use of the Fourier-transform method: theory and experimental tests[J]. Applied Optics, 2001, 40(13): 2081-2088.
[7]	NUGENT K A J A O. Interferogram analysis using an accurate fully automatic algorithm[J]. Applied Optics, 1985, 24(18): 3101-3105.
[8]	ZHONG J, WENG J J O E. Generalized Fourier analysis for phase retrieval of fringe pattern[J]. Optics Express, 2010, 18(26): 26806-26820.
[9]	KEMAO Q J A O. Windowed Fourier transform for fringe pattern analysis[J]. Applied Optics, 2004, 43(13): 2695-2702.
[10]	KREIS T J J A. Digital holographic interference-phase measurement using the Fourier-transform method[J]. Journal of the Optical Society of America A, 1986, 3(6): 847-855.
[11]	LIU J, RONNEY P J A O. Modified Fourier transform method for interferogram fringe pattern analysis[J]. Applied Optics, 1997, 36(25): 6231-6241.
[12]	BRACEWELL R N. The Fourier transform and its applications[J]. American Journal of Physics, 2002:34.
[13]	CHEHOUANI H, SAID A A H, EL FAGRICH M J E T, et al. Heat transfer study of free convection through a horizontal open ended axisymmetric cavity using holographic interferometry[J]. Experimental Thermal & Fluid Science, 2015, 60: 308-316.
[14]	CHEHOUANI H J O, ENGINEERING L I. A simple Abel inversion method of interferometric data for temperature measurement in axisymmetric medium[J]. Optics and Lasers in Engineering, 2012, 50(3): 336-344.
[15]	PRITT M D, SHIPMAN J S J I T O G, SENSING R. Least-squares two-dimensional phase unwrapping using FFT's[J]. IEEE Transactions on Geoscience and Remote Sensing, 1994, 32(3): 706-708.
[16]	GHIGLIA D C, ROMERO L A. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods[J]. Journal of the Optical Society of America A, 1994, 11(1): 107-117.
[17]	KERR D, KAUFMANN G, GALIZZI G J A O. Unwrapping of interferometric phase-fringe maps by the discrete cosine transform[J]. Applied Optics, 1996, 35(5): 810-816.
[18]	ALVAREZ R, RODERO A, QUINTERO M. An Abel inversion method for radially resolved measurements in the axial injection torch[J]. Spectrochimica Acta Part B: Atomic Spectroscopy, 2002, 57(11): 1665-1680.
[19]	CHO Y, NA S J. Application of Abel inversion in real-time calculations for circularly and elliptically symmetric radiation sources[J]. Measurement Science and Technology, 2005, 16(3): 878.
[20]	MA S, GAO H, WU L J A O. Modified Fourier-Hankel method based on analysis of errors in Abel inversion using Fourier transform techniques[J]. Applied Optics, 2008, 47(9): 1350-1357.
[21]	MADSEN M, BROWN D, KRUTZ S, et al. Measuring the molecular polarizability of air[J]. American Journal of Physics, 2011, 79(4): 428-430.
[22]	GONZALES R C, WOODS R E. Digital Image Processing [M]. New Jersey: Prentice Hall, 2002.
[23]	熊秉衡,李俊昌. 全息干涉计量技术: 原理和方法[M]. 北京: 科学出版社, 2009.

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